48612750668800 has 528 divisors, whose sum is σ = 125959200595200. Its totient is φ = 18579249561600.

The previous prime is 48612750668789. The next prime is 48612750668827. The reversal of 48612750668800 is 886605721684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44476441054 + ... + 44476442146.

Almost surely, 2^{48612750668800} is an apocalyptic number.

48612750668800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48612750668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62979600297600).

48612750668800 is an abundant number, since it is smaller than the sum of its proper divisors (77346449926400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48612750668800 is a wasteful number, since it uses less digits than its factorization.

48612750668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 61.

The spelling of 48612750668800 in words is "forty-eight trillion, six hundred twelve billion, seven hundred fifty million, six hundred sixty-eight thousand, eight hundred".